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Finding the Fourth Proportional to 12,475.07, 18,720.07 and 4,977.30

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Solution

The fourth proportional to 12,475.07, 18,720.07 and 4,977.30 is: 7,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.07 : 18,720.07 = 4,977.30 : x
  2. Step 2: Convert to fraction form
    12,475.07/18,720.07 = 4,977.30/x
  3. Step 3: Cross multiply
    12,475.07x = 18,720.07 × 4,977.30
  4. Step 4: Simplify right side
    12,475.07x = 93,175,391.97
  5. Step 5: Solve for x
    x = 93,175,391.97/12,475.07
  6. Step 6: Final answer
    x = 7,468.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.